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Simplifying 2w + 7 = -23 + -8w Reorder the terms: 7 + 2w = -23 + -8w Solving 7 + 2w = -23 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 7 + 2w + 8w = -23 + -8w + 8w Combine like terms: 2w + 8w = 10w 7 + 10w = -23 + -8w + 8w Combine like terms: -8w + 8w = 0 7 + 10w = -23 + 0 7 + 10w = -23 Add '-7' to each side of the equation. 7 + -7 + 10w = -23 + -7 Combine like terms: 7 + -7 = 0 0 + 10w = -23 + -7 10w = -23 + -7 Combine like terms: -23 + -7 = -30 10w = -30 Divide each side by '10'. w = -3 Simplifying w = -3
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